Answer
$\frac{5}{18}$
Work Step by Step
Find the least common denominator (LCD) of the two fractions in the numerator and the LCD of the two fractions in the denominator, and then multiply the numerators of those fractions by the factor that is missing between their denominators and the LCD:
$\dfrac{\frac{8}{8} - \frac{3}{8}}{\frac{8}{4} + \frac{1}{4}}$
Perform the operations in both the numerator and the denominator:
$\dfrac{\frac{5}{8}}{\frac{9}{4}}$
Rewrite this fraction as a division problem:
$\frac{5}{8} \div \frac{9}{4}$
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction:
$\frac{5}{8} \times \frac{4}{9}$
Multiply the numerators together, and multiply the denominators together:
$\frac{20}{72}$
Divide both numerator and denominator by their greatest common factor, $4$:
$\frac{5}{18}$
